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A Note on the Convergence of Nonparametric DEA Efficiency Measures

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  • Kneip, A
  • Park, B-U
  • Simar, L

Abstract

Efficiency scores of production units are measured by their distance to an estimated production frontier. Nonparametric DEA estimators are based on a finite sample of observed production unites and radial distances are considered. We investigate the consistency and the speed of convergence of these estimated efficiency scores in the very general setup of multi-output and multi-input case. It is shown that the speed of convergence relies on the smoothness of the unknown frontier and on the number of inputs and of outputs. Furthermore, one has to distinguish between the ouput- and the input-oriented case.

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Bibliographic Info

Paper provided by Catholique de Louvain - Institut de statistique in its series Papers with number 9603.

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Length: 11 pages
Date of creation: 1996
Date of revision:
Handle: RePEc:fth:louvis:9603

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Postal: Universite Catholique de Louvain, Institut de Statistique, Voie du Roman Pays, 34 B-1348 Louvain- La-Neuve, Belgique.

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Keywords: STATISTICS;

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Cited by:
  1. Kjoeserud,G.G. & Kvamme,O.J. & Kittelsen,S.A.C., 2001. "Errors in survey based quality evaluation variables in efficiency models of primary care physicians," Memorandum 24/2001, Oslo University, Department of Economics.
  2. Hallsteinli, Vidar & Kittelsen, Sverre AC & Magnussen, Jon, 2009. "Scale, efficiency and organization in Norwegian psychiatric outpatient clinics for children," HERO On line Working Paper Series 2001:8, Oslo University, Health Economics Research Programme.
  3. David C. Wheelock & Paul W. Wilson, 2000. "Why do Banks Disappear? The Determinants of U.S. Bank Failures and Acquisitions," The Review of Economics and Statistics, MIT Press, vol. 82(1), pages 127-138, February.
  4. Ferjani, Ali, 2005. "Does Switzerland Have a Productivity Problem?," Agrarwirtschaft und Agrarsoziologie/ Economie et Sociologie Rurales, Swiss Society for Agricultural Economics and Rural Sociology, issue 1.
  5. Kittelsen,S.A.C., 1999. "Monte Carlo simulations of DEA efficiency measures and hypothesis tests," Memorandum 09/1999, Oslo University, Department of Economics.
  6. Laurent Cavaignac, 2009. "Bias of distance functions estimates and Primont and Primont’s homotheticity test," Journal of Productivity Analysis, Springer, vol. 31(2), pages 95-100, April.
  7. Kneip, Alois & Simar, Léopold & Wilson, Paul W., 2008. "Asymptotics And Consistent Bootstraps For Dea Estimators In Nonparametric Frontier Models," Econometric Theory, Cambridge University Press, vol. 24(06), pages 1663-1697, December.
  8. Wheelock, David C. & Wilson, Paul W., 2008. "Non-parametric, unconditional quantile estimation for efficiency analysis with an application to Federal Reserve check processing operations," Journal of Econometrics, Elsevier, vol. 145(1-2), pages 209-225, July.
  9. Theodoridis, A.M. & Psychoudakis, A. & Christofi, A., 2006. "Data Envelopment Analysis as a Complement to Marginal Analysis," Agricultural Economics Review, Greek Association of Agricultural Economists, vol. 7(2), August.
  10. Simar, L. & Wilson, P.W., 1998. "Productivity Growth in Industrialized Countries," Papers 9810, Catholique de Louvain - Institut de statistique.
  11. Léopold Simar & Paul Wilson, 2011. "Two-stage DEA: caveat emptor," Journal of Productivity Analysis, Springer, vol. 36(2), pages 205-218, October.
  12. Alois Kneip & Léopold Simar & Paul Wilson, 2011. "A Computationally Efficient, Consistent Bootstrap for Inference with Non-parametric DEA Estimators," Computational Economics, Society for Computational Economics, vol. 38(4), pages 483-515, November.
  13. Paul W. Wilson & David C. Wheelock, 2004. "Robust Nonparametric Estimation of Efficiency and Technical Change in U.S. Commercial Banking," Econometric Society 2004 North American Summer Meetings 433, Econometric Society.
  14. Simar, L. & Wilson, P.W., 1998. "A General Methodology for Bootstrapping in Nonparametric Frontier Models," Papers 9811, Catholique de Louvain - Institut de statistique.
  15. Léopold Simar & Paul Wilson, 2011. "Inference by the m out of n bootstrap in nonparametric frontier models," Journal of Productivity Analysis, Springer, vol. 36(1), pages 33-53, August.
  16. Kittelsen, Sverre A.C. & Magnussen, Jon, 2009. "Testing DEA Models of Efficiency in Norwegian Psychiatric Outpatient Clinics," HERO On line Working Paper Series 1999:4, Oslo University, Health Economics Research Programme.

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